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Finding the Fourth Proportional to 8,719.41, 13,082.98 and 4,971.05

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Solution

The fourth proportional to 8,719.41, 13,082.98 and 4,971.05 is: 7,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.41 : 13,082.98 = 4,971.05 : x
  2. Step 2: Convert to fraction form
    8,719.41/13,082.98 = 4,971.05/x
  3. Step 3: Cross multiply
    8,719.41x = 13,082.98 × 4,971.05
  4. Step 4: Simplify right side
    8,719.41x = 65,036,186.65
  5. Step 5: Solve for x
    x = 65,036,186.65/8,719.41
  6. Step 6: Final answer
    x = 7,458.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.